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Discontinuous Phase Transitions in Nonlocal Schloegl Models for Autocatalysis: Loss and Reemergence of a Nonequilibrium Gibbs Phase Rule

TitleDiscontinuous Phase Transitions in Nonlocal Schloegl Models for Autocatalysis: Loss and Reemergence of a Nonequilibrium Gibbs Phase Rule
Publication TypeJournal Article
Year of Publication2018
AuthorsLiu, DJ, Wang, CJ, Evans, JW
JournalPhysical Review Letters
Volume121
Pagination120603
Date Published09
Type of ArticleArticle
ISBN Number0031-9007
Accession NumberWOS:000445326500001
Keywordscontact process, ensemble, equations, generic 2-phase coexistence, interactions, nonergodic behavior, physics, propagation, range, systems, trees
Abstract

We consider Schloegl models (or contact processes) where particles on a square grid annihilate at a rate p and are created at a rate of k(n) = n(n - 1)/[N(N - 1)] at empty sites with n particles in a neighborhood Omega(N) of size N. Simulation reveals a discontinuous transition between populated and vacuum states, but equistable p = p(eq) determined by the stationarity of planar interfaces between these states depends on the interface orientation and on Omega(N). The behavior for large Omega(N) follows from continuum equations. These also depend on the interface orientation and on Omega(N) shape, but a unique p(eq) = 0.211 376 320 4 emerges imposing a Gibbs phase rule.

DOI10.1103/PhysRevLett.121.120603
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Chemical Physics

Alternate JournalPhys. Rev. Lett.